(-14x^2+4x^2+19+4x)/(2x-5)
I think -14x^2 should be -14x^3
:.= (-14x^3+4x^2+4x+19)/(2x-5)
color(white)(......)color(white)(......)-7x^2-15.5x-36.75
2x-5|overline(-14x^3+4x^2+4x+19)
color(white)(.............)ul(-14x^3+35x^2)
color(white)(......................)-31x^2+4x
color(white)(.......................)ul(-31x^2+77.5x)
color(white)(..................................)-73.5x+19
color(white)(....................................)ul(-73.5x+183.75)
color(white)(................................................)-164.75
color(magenta)( (-14x^3+4x^2+4x+19)/(2x-5) = -7x^2-15.5x-36.75 and remainder color(magenta)(-164.75/(2x-5)